1. Warm Up: Revision of Pythagoras and Trigonometry
Fill in the gaps:
trigonometry
longest
Trigonometric ratios
Opp
sin
tan
right-angled
cos
Adj
Trigonometry -
Triangles
inverse
square root
SOH-CAH-TOA
Pythagoras’ Theorem
shortest
triangles
add
subtract
square
hypotenuse
Hyp
Hyp
longest
hypotenuse
square
square root
Pythagoras’ Theorem is normally only used in _____-______ __________. The ________ side of a triangle is always called the ______________.
When I know the 2 ________ sides, and want to find the _______ side, I _______ them, and ___ them, before I then _______ ____.
When I know a short side and the __________, and I want to find the other side, I ______ them and ________ them before I ________ _____.
Sine, Cosine and Tangent are ________ ______. The phrase ___ ___ ___ helps us to remember which trigonometric ratio to use.
If we have ____ and ____, we use ____. If we have ____ and ____, we use ____. If we have ____ and ____, we use ____.
If I know 2 sides and want to find the other side, I use ____________ ________.
If I know 2 sides and want to work out the angle, I use ____________. To find angles, we need to use the _______ of the trigonometric functions.
If I know a side and an angle and want to work out the other side, I use ____________. When finding missing sides, __________ ________ help us know whether to multiply or divide.
To summarise, if the problem involves angles, I use _____________.
If it does not involve angles (only sides), I use ____________ ________.

2. Hand in completed Tangent Worksheets (peer marking)
22/11/2016

3. ANSWERS x =13.86 h =16 y=5.6 x=1.34 h=13.2 h=5.18 x=11.92 h=15.56

4. 7/35 = 1/5
25/5 = 5
10/2 = 5 79 68 45 1 1 5 x x x 5 2 1 y y 4
11.2 63 37 27 53

5. Pythagoras
E.g.
10²= x²+ 8²
x =
= V36
= 6 a c 10 8 b
a² = b² +c² x

6. Trigonometry SOHCAHTOA x 6 3 x H O A H H O A 10 Finding Sides Cos x =
Finding Angles
Finding Sides 6 10 3 H H O x 50 A
Sin x =
X = sin–1(3/6)
=sin–1(0.5)
=30º
Cos x =
Cos 50º =
X = 10 cos 50º
= 6.4cm
Remember: Make sure your calculator is in DEG

7. ***Geometry and Trigonometry Unit Test Tomorrow!!!***
Trigonometry Review Worksheet
***Geometry and Trigonometry Unit Test Tomorrow!!!***
22/11/2016